• (GLn, GLm)-duality and symmetric plethysm

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      https://www.ias.ac.in/article/fulltext/pmsc/097/01-03/0085-0109

    • Keywords

       

      (GLn GLm)-duality; plethysm; symmetric plethysm; reciprocity laws; invariants

    • Abstract

       

      In [7] the author has given an exposition of the theory of invariants of binary forms in terms of a particular version of Classical Invariant Theory. Reflection shows that many aspects of the development apply also ton-ary forms. The purpose of this paper is to make explicit this more general application. The plethysms S’(Sp(ℂn)) are computed quite explicitly forl = 2, 3 and 4.

    • Author Affiliations

       

      Roger Howe1 2

      1. The Institute for Advanced Studies, Hebrew University of Jerusalem, Givat Ram, Jerusalem - 91940, Israel
      2. Department of Mathematics, Yale University, Yale Station, Box 2155, New Haven, CT - 06520, USA
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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